An Incompressible Fluid Is Flowing Through a Vertical Pipe with a Constriction

question 23

Multiple Choice

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section for the pressure of the fluid in the narrow section to equal the pressure in the wide section? (density of the fluid is 1,000 kg/m³)

• A) 1.50 cm
• B) 1.36 cm
• C) 1.28 cm
• D) 1.12 cm
• E) 1.00 cm

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Definitions:

Fetus

A fetus refers to a developing mammal or human after the embryonic stage and before birth, characterized by rapid growth and the formation of body structures.

Chorion

The outermost membrane surrounding an embryo of a reptile, bird, or mammal, contributing to the formation of the placenta in mammals.

Hairs

Filamentous biomaterials growing from the dermis of mammals, serving various functions including temperature regulation and sensation.

Placenta

An organ in mammals that develops during pregnancy, providing oxygen and nutrients to the fetus while removing waste products.